Anisotropic Elasticity
This book presents a modern and unconventional introduction to anisotropy. The first part presents a general description of Anisotropic Elasticity theories while the second part focuses on the polar formalism: the theoretical bases and results are complet
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Paolo Vannucci
Anisotropic Elasticity
Lecture Notes in Applied and Computational Mechanics Volume 85
Series editors Peter Wriggers, Leibniz Universität Hannover, Hannover, Germany e-mail: [email protected] Peter Eberhard, University of Stuttgart, Stuttgart, Germany e-mail: [email protected]
About this Series This series aims to report new developments in applied and computational mechanics—quickly, informally and at a high level. This includes the fields of fluid, solid and structural mechanics, dynamics and control, and related disciplines. The applied methods can be of analytical, numerical and computational nature.
More information about this series at http://www.springer.com/series/4623
Paolo Vannucci
Anisotropic Elasticity
123
Paolo Vannucci Laboratoire de Mathématiques de Versailles Université de Versailles Saint-Quentin-en-Yvelines Versailles France
ISSN 1613-7736 ISSN 1860-0816 (electronic) Lecture Notes in Applied and Computational Mechanics ISBN 978-981-10-5438-9 ISBN 978-981-10-5439-6 (eBook) DOI 10.1007/978-981-10-5439-6 Library of Congress Control Number: 2017944298 © Springer Nature Singapore Pte Ltd. 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
To the beloved memory of my mother, Maria Pia
Preface
This book was born as the class notes of the course Anisotropic structures: theory and design that I hold at Ecole Polytechnique for the students of Master M4S—Multiphysics and Multiscale Modeling of Materials and Structures, a specialization curriculum of the second year of Master in Mechanics of the University Paris-Saclay, a federation of Universities in the
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